Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T05:19:25.125Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM

Published online by Cambridge University Press:  24 March 2006

M. AMOUCH  and
H. ZGUITTI
M. AMOUCH
Affiliation:
Department of Mathematics, Faculty of science, Semlalia, B.O: 2390 Marrakesh, Morocco e-mail: [email protected]
H. ZGUITTI
Affiliation:
Department of Mathematics, Faculty of science, of Rabat, B.O: 1014 Rabat, Morocco. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note we answer two question posed by Berkani and Koliha [Acta Sci. Math.69 (2003), 359–376]. We show that generalized Browder's (resp. generalized $a$-Browder's) theorem holds for a Banach space operator if and only if Browder's (resp. $a$-Browder's) theorem does. We also give condition under which generalized Weyl's (resp. generalized $a$-Weyl's) theorem is equivalent to Weyl's (resp. $a$-Weyl's) theorem.

Keywords

Primary 47A53Secondary 47A1047A11
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 179 - 185
Copyright
2006 Glasgow Mathematical Journal Trust